Geometric Methods in High Energy Physics

Problems are only as hard as their representations and this particular one about simulating trajectories in particle decay seems quite complex until it’s framed as a geometric question.

Mathematical Design in the Islamic World

Geometric patterns are a prevalent feature in Islamic art and architecture, the complexity of which ranges from simple polygon tiling to multi-layered, fractal structures. Here I look at some famous patterns which occur in Islamic geometric design, and try to break down some of the neat mathematical features behind each one. In addition, I’ve added in a few interactive modules to play around with, which hopefully are a) fun and b) provide a better visual intuition.

The Messi Project, Part II: LM10 vs CR7

Perhaps the greatest footballing rivalry ever, Lionel Messi and Cristiano Ronaldo have consistently topped the charts of football in terms of performance stats and accolades; and yet they couldn’t be more different in terms of their footballing style. In this post I introduce topological data analysis and how it can tell us about what exactly makes these players so special.

The Messi Project, Part I: The Influence of LM10

Despite playing at FC Barcelona in the Spanish La Liga for over 10 years, Lionel Messi seems to continually outperform himself season after season. In this post, I look beyond goals and assist tallies and analyze the Barcelona passing network in order to measure Messi’s impact over the years.

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